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Simplifying 7(2b + -5) = -6b + 5 Reorder the terms: 7(-5 + 2b) = -6b + 5 (-5 * 7 + 2b * 7) = -6b + 5 (-35 + 14b) = -6b + 5 Reorder the terms: -35 + 14b = 5 + -6b Solving -35 + 14b = 5 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -35 + 14b + 6b = 5 + -6b + 6b Combine like terms: 14b + 6b = 20b -35 + 20b = 5 + -6b + 6b Combine like terms: -6b + 6b = 0 -35 + 20b = 5 + 0 -35 + 20b = 5 Add '35' to each side of the equation. -35 + 35 + 20b = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 20b = 5 + 35 20b = 5 + 35 Combine like terms: 5 + 35 = 40 20b = 40 Divide each side by '20'. b = 2 Simplifying b = 2
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